%% International Journal of Computational Intelligence Systems ---
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass[11pt,twoside]{article}
\usepackage{ijcis}
%--------------------- ADDITIONAL PACKAGES HERE ---------------------------
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}

\hyphenation{pro-per-ties}
\hyphenation{ge-ne-ral-ly}
\hyphenation{pre-fe-ren-ces}
\hyphenation{u-sing}
\hyphenation{pu-nish-ment}
\newcommand{\Pow}{\mathcal{P}}
\newcommand{\N}{\operatorname{N}}
\newcommand{\bool}{\operatorname*{\mathcal{B}}}
\newcommand{\Pos}{\operatorname{Pos}}
\newcommand{\Nec}{\operatorname{Nec}}
\newcommand{\T}{\mathcal{T}}
\newcommand{\C}{\mathcal{C}}
\newcommand{\Nat}{\mathbb{N}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Z}{\mathbb{Z}}
%--------------------------------------------------------------------------
%
\def\labart{yourLabel}      % put a label from your choice here
%\Vol{1}                    % number of the Volume
%\Issue{1}                  % number of the issue
%\Month{January}            % month
%\Year{2008}                % year
%\received{...}
%\revised{...}
%
%---------------------------------------------------------------------------
\thispagestyle{empty}
%%------------------------- YOUR HEADINGS HERE -----------------------------
% Author's initials of first names+last names
\shortauthors{J. Pons}
% Short title
\shorttitle{A possibilistic general valid-time model}
%---------------------------------------------------------------------------
%
%---------------------- YOUR TITLE ----------------------------------------
\title{%
PoVaTiM: A Possibilistic Valid-Time Model
 \\ \vspace*{0.04truein}
%Using \LaTeX\footnote{For the title, try not to use more than 3 lines.
%Typeset the title in 12 pt Times Roman, uppercase and boldface.}
}
%-------------------------- AUTHOR'S NAMES ----------------------------------
\author{%
Jose Enrique Pons\,\up{1}\,\,,
%\author{
Second Author\,\up{2}
}
%----------------------------- ADDRESSES ----------------------------------
\addresses{%
\up{1}
Department of Computer Science and Artificial Intelligence, University of Granada\\
C/ Periodista Daniel Saucedo Aranda, S/N,E-18071\\
Granada, Spain%
\footnote{
Jos\'e Enrique Pons Frías, Universidad de Granada, C/ Periodista Daniel Saucedo Aranda S/N, E-18071, Granada, Spain.
%State completely without abbreviations, the affiliation
%and mailing address, including country. Typeset in 10~pt Times Italic.
}
%\\ \vspace*{0.04truein}
%E-mail: jpons@decsai.ugr.es
%%}\address{%
%\\ \vspace*{0.05truein}
%\up{2}
%Group, Company,\\
%Address,\\ City, State ZIP/Zone, Country
%\\ \vspace*{0.04truein}
%E-mail: address
}
%---------------------------------------------------------------------------
\pagestyle{myheadings}
\begin{document}
\label{\labart-FirstPage}

\maketitle
%-------------------------- ABSTRACT ---------------------------------------
\abstracts{%
%The abstract should summarize the context, content and conclusions of the
%paper in less than 80 words. It should not contain any references or
%displayed equations. Typeset the abstract in 9~pt Times Roman with
%baselineskip of 11 pt, making an indentation of 2.5 picas on the left
%and right margins.
}
\par\bigskip\par
%-------------------------- KEYWORDS ---------------------------------------
\keywords{Possibilistic fuzzy temporal database valid time}

\vspace*{10pt}\textlineskip
%-------------------------- BEGIN BODY OF TEXT -----------------------------
\begin{multicols}{2}

\section{Introduction}


\section{Preliminaries}


\section{Possibilistic Valid-Time Model for Relational DB}
\input{./sources/temporalModel.tex}



%\subsection{Sub-headings}
%%\vspace*{-4pt}  %only when needed
%Sub-headings should be typeset in bolditalic with the first
%letter of first word capitalized and section number in boldface.
%
%%\vspace*{-1pt}  %only when needed
%\subsubsection{Sub-subheadings}
%%\vspace*{-4pt}  %only when needed
%
%Typeset in italic (Section No. to be in Roman) and capitalize
%the first letter of the first word only.
%
%%\vspace*{-1pt}  %only when needed
%\subsection{Numbering and spacing}
%%\vspace*{-4pt}  %only when needed
%
%Sections, sub-sections and sub-subsections are numbered in Arabic.
%Use double spacing after major and subheadings, and single spacing
%after\break sub-subheadings.
%
%%\vspace*{-1pt}  %only when needed
%\subsection{Lists of items}
%%\vspace*{-4pt}  %only when needed
%
%{Lists may be laid out with each item marked by\hfilneg}
%
%\noindent a dot:
%\begin{itemize}
%\item item one,
%\item item two.
%\end{itemize}
%
%\setcounter{footnote}{0}
%\renewcommand{\thefootnote}{\alph{footnote}}
%
%Items may also be numbered in lowercase Roman numerals:
%\begin{enumerate}[(i)]\Nospacing
%\item item one
%\item item two
%    \begin{enumerate}[(a)]\Nospacing
%    \item Lists within lists can be numbered with lowercase Roman letters,
%    \item second item.
%    \end{enumerate}
%\end{enumerate}
%
%\subsection{Running Heads}
%
%Please provide a shortened running head (not more than four words,
%each starting with a Capital) for the title of your paper. This will
%appear with page numbers on the top right-hand side of your paper on
%odd pages.
%
%For the running heads for the authors names should appear on your paper
%on the even  pages. Please apply the following rules for theses running
%heads:
%\begin{itemize}
%\item for one author: only the initial plus the full last name (e.g., D. Ruan),
%\item for two authors: D. Ruan, T. Li,
%\item for three authors or more: D. Ruan \emph{et al.}
%\end{itemize}
%
%\section{Equations}
%
%Displayed equations should be numbered consecutively in each
%section, with the number set flush right and enclosed in
%parentheses.
%\begin{equation}
%\mu(n,t) = \dfrac{\sum^\infty_{i=1} 1(d_i < t, N(d_i) = n)}
%{\int^t_{\sigma=0} 1(N(\sigma) = n)\mathrm{d}\sigma}\,\, .
%\label{this}
%\end{equation}
%Equations should be referred to in abbreviated form,
%e.g.~``Eq.~(\ref{this})'' or ``(2)''. In multiple-line equations,
%the number should be given on the last line.
%
%Displayed equations are to be centered on the page width.
%Standard English letters like x are to appear as $x$ (italicized)
%in the text if they are used as mathematical symbols. Punctuation
%marks are used at the end of equations as if they appeared directly in the text.
%
%\begin{theorem}
%Theorems, lemmas, etc. are to be numbered consecutively in the
%paper, just by using \\
%\verb+\begin{env}My text here...\end{env}+\\
%for the environments \emph{theorem}, \emph{lemma},
%\emph{proposition}, and \emph{corollary}.\\
%\end{theorem}
%
%\vspace*{-5pt}
%
%\begin{proof}
%Proofs are produced with the command\\
%\verb+\begin{proof}{My proof...}\end{proof}+.\\
%It should end with\ $\qed$\kern0.3pt.
%\end{proof}
%
%\section{Illustrations and Photographs}
%
%Figures are to be inserted in the text nearest their first reference.
%Original india ink drawings or glossy prints are preferred. Please
%send one set of originals with copies. If the author requires the
%publisher to reduce the figures, ensure that {the figures (including
%letterings and numbers) are large enough to be\hfilneg}
%
%%\begin{figure}[htbp] %ORIGINAL SIZE: width=1.4TRUEIN; height=1.5TRUEIN
%%\vspace*{13pt}
%%\centerline{\psfig{file=ap-ijcis.eps}} %100 percent
%\vspace*{10pt}
%\fcaption{Labeled tree {\it T}.}
%%\end{figure}
%\vspace*{13pt}
%
%\noindent
%clearly seen after reduction. If photographs are to be used, only
%black and white ones are acceptable.
%
%Figures are to be sequentially numbered in Arabic numerals. The
%caption must be placed below the figure. For those figures with
%multiple parts which appear on different pages, it is best to
%place the full caption below the first part, and have
%e.g.~``Fig.~1. ({\it Continued})'' below the last part. Typeset
%in 9~pt Times Roman with baselineskip of 11~pt. Use double
%spacing between a caption and the text that follows immediately.
%
%Previously published material must be accompanied by written
%permission from the author and publisher.
%
%\section{Tables}
%
%Tables should be inserted in the text as close to the point of
%reference as possible. Some space should be left above and below
%the table. Tables should be numbered sequentially in the text in
%Arabic numerals. Captions are to be centralized above the
%tables. Typeset tables and captions in 9~pt Times Roman with
%baselineskip of 11~pt.
%
%If tables need to extend over to a second page, the continuation
%of the table should be preceded by a caption, e.g.~``Table~2.
%({\it Continued})''
%
%\vglue13pt
%%\begin{table}[htbp]
%\tcap{Number of tests for WFF triple NA = 5, or\break NA = 8.}
%\centerline{\small NP}
%\vglue-6pt
%\centerline{\small\baselineskip=13pt
%\begin{tabular}{l c c c c c}\\
%\hline
%{} &{} &3 &4 &8 &10\\
%\hline
%{} &\phantom03 &1200 &2000 &\phantom02500 &\phantom03000\\
%NC &\phantom05 &2000 &2200 &\phantom02700 &\phantom03400\\
%{} &\phantom08 &2500 &2700 &16000 &22000\\
%{} &10 &3000 &3400 &22000 &28000\\
%\hline\\
%\end{tabular}}
%%\end{table}
%
%\section{References}
%
%References in the text are to be numbered consecutively in Arabic
%numerals, in the order of first appearance. They are to be cited as
%superscripts without parentheses or brackets after punctuation marks
%like commas and periods but before punctuation marks like colons,
%semi-colons and question marks. Where superscripts might cause
%ambiguity, cite references in parentheses in abbreviated form,
%e.g.~(Ref.~12).
%
%\section{Footnotes}
%
%Footnotes should be numbered sequentially in superscript
%lowercase Roman letters.\fnm{a}\fnt{a}{Footnotes should be
%typeset in 8~pt Times Roman at the bottom of the page.}
%
%\section*{Note Added}
%
%Additional note can be added before Acknowledgment.
%
%\section*{Acknowledgments}
%
%This section should come before the References. Funding
%information may also be included here.
%
%\appendix{}
%
%Appendices should be used only when absolutely necessary. They should
%come immediately\break before the References. If there is more than
%one appendix, number them alphabetically. Number%\break
%displayed equations occurring in the Appendix in this way, e.g.~(\ref{that}),
%(A.2), etc.
%\begin{equation}
%\mu(n,t) = {\displaystyle\sum^\infty_{i=1} 1(d_i < t, N(d_i) = n) \over
%\displaystyle\int^t_{\sigma=0} 1(N(\sigma) = n)d\sigma}\,\, .\label{that}
%\end{equation}
%
%\section*{References}
%References are to be listed in the order cited in the text. Use the style shown
%in the following examples. For journal names, use the standard abbreviations.
%Typeset references in 9~pt Times Roman.
%
%%----------------------------- END BODY OF TEXT -----------------------------
%
%\begin{thebibliography}{000}
%\bibitem{1}
%J. J. Hopfield, ``Neurons with graded response have collective
%computational properties like two-state neurons,'' {\it Proc. Natl. Acad. Sci.},
%{\bf 81}, 3088--3092 (1984).
%
%\bibitem{2}
%D. W. Tank and J. J. Hopfield, ``Simple `neural' optimization networks:
%An A/D converter, signal decision circuit, and a linear programming circuit,''
%{\it IEEE Trans. on Circuits and Systems}, {\bf 33}, 533--541 (1986).
%
%\bibitem{3}
%Y. S. Foo and Y. Takefuji, ``Integer linear programming neural networks for
%job-shop scheduling,'' {\it Proc. IEEE Intl. Conf. on Neural Networks},
%{\bf II}, 341--348 (1988).
%%\phantom{00}
%\label{\labart-LastPage}
%\end{thebibliography}
\end{multicols}
\end{document}
